Gravitational waves in ultra-slow-roll and their anisotropy at two loops
Year: 2025
Type: article
Abstract: We compute the non-Gaussian corrections to the energy density and anisotropies of gravitational waves induced during the radiation era after an ultra-slow-roll phase of inflation by using a diagrammatic approach, and present the corresponding Feynman rules. Our two-loop calculation includes both the intrinsic non-Gaussianity of the inflaton perturbation δϕ and the non-Gaussianity arising from the nonlinear relation between the latter and the curvature perturbation ℛ, which we find to be subdominant with respect to the former. We apply our formalism to an analytical model in which the ultra-slow-roll phase is followed by a constant-roll stage with a nonvanishing second slow-roll parameter η , and address the renormalization of the one-loop scalar power spectrum in this scenario.
Authors: Juan Álvarez Ruiz, Julián Rey
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4409246514
